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Is the cross product vector or scalar?

Updated: 9/24/2023
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Q: Is the cross product vector or scalar?
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Related questions

Is it possible to multiply a vector quantity to a scalar quantity?

The product of scalar and vector quantity is scalar.


What is the product of two vector quantities?

It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.


in what components dot and cross product resolve?

A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.


Why the product of two vectors is sometime scalar and sometime vector?

Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.


How torque is vector and work is scalar quantity?

Torque is got by the cross product of two vectors namely force vector and perpendicular radius vector Tau (torque) = r X F But work is got by the scalar product of force vector and displacement vector Hence W = F . S


Is a scalar a component of a vector?

Answer: A vector is always the product of 2 scalars


Is momentum a vector or scalar quantity?

Momentum is a vector quantity. We know that momentum is the product of mass and velocity, and velocity has direction. That makes velocity a vector quantity. And the product of a scalar quantity and a vector quantity is a vector quantity.


What are the operation on vector?

That really depends on the type of vectors. Operations on regular vectors in three-dimensional space include addition, subtraction, scalar product, dot product, cross product.


Dot product of two vectors is equal to cross product what will be angle between them?

(A1) The dot product of two vectors is a scalar and the cross product is a vector? ================================== (A2) The cross product of two vectors, A and B, would be [a*b*sin(alpha)]C, where a = |A|; b = |B|; c = |C|; and C is vector that is orthogonal to A and B and oriented according to the right-hand rule (see the related link). The dot product of the two vectors, A and B, would be [a*b*cos(alpha)]. For [a*b*sin(alpha)]C to equal to [a*b*cos(alpha)], we have to have a trivial solution -- alpha = 0 and either a or b be zero, so that both expressions are zeroes but equal. ================================== Of course one is the number zero( scalar), and one is the zero vector. It is a small difference but worth mentioning. That is is to say if a or b is the zero vector, then a dot b must equal zero as a scalar. And similarly the cross product of any vector and the zero vector is the zero vector. (A3) The magnitude of the dot product is equal to the magnitude of the cross product when the angle between the vectors is 45 degrees.


What is the cross product of a vector itself?

0 is a cross product of a vector itself


Is the number of leaves on a tree scalar or vector?

scalar lol


Is momentum a vector?

Momentum is a vector quantity because the definition of momentum is that it is an object's mass multiplied by velocity. Velocity is a vector quantity that has direction and the mass is scalar. When you multiply a vector by a scalar, it will result in a vector quantity.